Turning expression into circuit help?

In summary, the problem involves simplifying the Boolean expression AC'D+ AB'D + BCD' + A'BC and implementing it as a circuit. It is suggested to start with an OR gate with 4 inputs and consider the priority of logical operators. Inverting inputs may also be necessary.
  • #1
Ramir
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Homework Statement


AC'D+ AB'D + BCD' + A'BC

2. Homework Equations

The Attempt at a Solution


Would I start by inverting all the inputs? Would there be 3 Or's to this?
I get from the truth table, to simplifying expressions with k-map, but I don't know how to turn it into a circuit.
Can someone please help me?
 
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  • #2
Ramir said:
AC'D+ AB'D + BCD' + A'BC
It is likely that the problem specification has given you more requirements than you have mentioned here, and probably assumes you will simplify the Boolean expression before implementing it as logic gates. But to answer your question ...

you could start with an OR gate that takes 4 inputs.
 
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  • #3
Perhaps read up on the priority of logical operators? That might help you work out if you need AND gates followed by OR gates or the other way around. Starting with a few inverters is also reasonable.
 

Related to Turning expression into circuit help?

1. How do I turn an expression into a circuit?

To turn an expression into a circuit, you first need to break down the expression into its individual components, such as AND, OR, and NOT gates. Then, you can use a logic gate diagram to connect these components together to create a circuit that represents the expression.

2. What is the purpose of turning expression into a circuit?

The purpose of turning expression into a circuit is to create a visual representation of a logical expression, which can then be used to design and build a physical circuit. This process can help to simplify complex expressions and make them easier to understand and implement.

3. What are some common tools used for turning expression into a circuit?

Some common tools used for turning expression into a circuit include logic gate diagrams, Boolean algebra, and truth tables. These tools can help to visualize and simplify the logic behind an expression and aid in the design of the corresponding circuit.

4. Can turning expression into a circuit be used in real-life applications?

Yes, turning expression into a circuit is commonly used in various real-life applications, such as digital electronics, computer programming, and control systems. It allows for the efficient design and implementation of logical operations in these systems.

5. Are there any limitations to turning expression into a circuit?

While turning expression into a circuit can be a useful tool, it does have some limitations. It may not always be practical or efficient for more complex expressions, and it may not account for real-world factors such as signal noise or component failure.

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